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Lipschitz continuity of the optimal value function and KKT solution set in indefinite quadratic programs
  • ISSN号：1005-1031
  • 期刊名称：《高校应用数学学报：英文版（B辑）》
  • 时间：0
  • 分类：O221.2[理学—运筹学与控制论;理学—数学] O171[理学—数学;理学—基础数学]
  • 作者机构：[1]School of Science, Xi'an Polytechnic University, Xi'an 710048, China., [2]Department of Computing Science, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China.
  • 相关基金：Supported by the National Natural Science Foundation of China （10571141, 70971109, 71371152）, the first author is also supported by the Talents Fund of Xi＇an Polytechnic University （BS1320） and the Mathematics Discipline Development Fund of Xi＇an Ploytechnic University （107090701）.Acknowledgments. The authors are grateful to the anonymous referee for his/her construc- tive comments, which have helped us to improve the paper significantly.
作者： HAN You-pan[1], CHEN Zhi-ping[2], ZHANG Feng[2]
关键词： 不定二次规划, 最优值函数, 连续性, 设置, 规划问题, 解集, 类似, quadratic program, Lipschitz continuity, value function, feasible solution, KKT solution set.
中文摘要：

什么时候在不定的二次的程序的所有深奥数据同时变化，我们出现局部地， KKT 的 Lipschtiz 连续性第一二次的编程问题设定，然后，我们建立局部地， KKT 解决方案的 Lipschtiz 连续性设定。最后，为相应最佳的价值功能的类似的结论被获得。

英文摘要：

When all the involved data in indefinite quadratic programs change simultaneously, we show the locally Lipschtiz continuity of the KKT set of the quadratic programming problem firstly, then we establish the locally Lipschtiz continuity of the KKT solution set. Finally, the similar conclusion for the corresponding optimal value function is obtained.

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期刊信息
  • 《高校应用数学学报：英文版（B辑）》
  • 主管单位:教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu B@eju.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1005-1031
  • 国内统一刊号：ISSN：33-1171/O
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国科学引文索引（扩展库）
  • 被引量:26